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Finding the Fourth Proportional to 96,649.90, 144,973.02 and 39,711.70

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Solution

The fourth proportional to 96,649.90, 144,973.02 and 39,711.70 is: 59,566.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,649.90 : 144,973.02 = 39,711.70 : x
  2. Step 2: Convert to fraction form
    96,649.90/144,973.02 = 39,711.70/x
  3. Step 3: Cross multiply
    96,649.90x = 144,973.02 × 39,711.70
  4. Step 4: Simplify right side
    96,649.90x = 5,757,125,078.33
  5. Step 5: Solve for x
    x = 5,757,125,078.33/96,649.90
  6. Step 6: Final answer
    x = 59,566.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.